The Energy of Graphs and Matrices

  title={The Energy of Graphs and Matrices},
  author={LAURA BUGGY and KATELYN MCCALL and Sivaram K. Narayan},
Let G be a finite, undirected, and simple graph. If {v1, · · · , vn} is the set of vertices of G, then the adjacency matrix A(G) = [aij ] is an n-by-n matrix where aij = 1 if vi and vj are adjacent and aij = 0 otherwise. The energy of a graph, E(G), is defined as the sum of the absolute values of eigenvalues of A(G). The concept of energy originates in… CONTINUE READING